Abstract We have studied the quantum diffusion in an octagonal quasiperiodic tiling. Paticular attention is paid to the analysis of long-time behavior of the autocorrelation function C(t) and the relationship between diffusion and fractal dimensions of energy spectrum. For the pure hopping model, numerical calculations show that C(t) ～t-1 , which corresponds to the case of periodic systems. For the combined model, in which the contribution of site potentials is considered, C(t) ～t-$\delta$ with 0＜$\delta$≤1. The scaling factor $\delta$ is related to Hamiltonian parameters and the type of site where electron is initially located. Moreover, we find a crossover from $\delta$=1 to 0＜$\delta$＜1 with increasing site potentials.
Received: 04 May 1997
Revised: 22 October 1997
Accepted manuscript online:
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